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katovenus [111]
3 years ago
15

What is a logarithm? if your employer asked you to select one of these options: option 1: your salary for the next two months wi

ll be $5,000. option 2: 1 penny for the first day; then, he will double your salary every day for the next two months. which would you pick and how much will your salary be at the end of the first month?
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
Take option 2.
Let n=2^30
Then:
ln n=ln 2^30=30 ln 2
ln n=20.8
n=e^20.8, or 1,073,741,824
1073741824 x.01=$10,737,418.24 due in salary at the end of the first month!!!!!
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You invest 4,100 in an account that pays an interest rate of 7.25% ,compounded continuously. Calculate the balance of your accou
levacccp [35]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$4100\\
r=rate\to 7.25\%\to \frac{7.25}{100}\to &0.0725\\
t=years\to &8
\end{cases}
\\\\\\
A=4100e^{0.0725\cdot 8}\implies A=4100e^{0.58}\implies A\approx 7322.757566075
8 0
3 years ago
Connor wants to attend the town carnival. The price of admission to the
Vesna [10]

Answer:

14 rides

Step-by-step explanation:

16 = 0.79x + 4.5

11.5 = 0.79x

x = 14.55 or 14

rounding down because it can't go over $16.

0.79(14) + 4.5 = $15.56

7 0
3 years ago
Micheal has been awarded a pay rise of 4%.His salary is £ 24 492 <br> What was his apart before?
Nesterboy [21]
Because there was a pay rise, we can write the equation as x+0.04x = 24.492 and solve for x.

x+0.04x = 24.492
1.04x = 24.492
x=23.55

His original pay was £23.55
6 0
3 years ago
Goods are purchased for ₹1500. If one fifth of the goods sold at a profit of 5% and the remaining four-fifth of the goods at a p
Tpy6a [65]

Answer:

9%

Step-by-step explanation:

Cost of 1/5 good = 1500*1/5= 300

Profit= 5%

SP = (profit+100)/100*CP

SP= (5+100)/100*300

SP = 105/100*300

SP= 1.05*300= 315

Cost of 4/5 good = 1500*4/5= 1200

Profit= 10%

SP= (profit+100)/100*CP

SP= (10+100)/100*1200

SP = 110/100*1200

SP= 1.10*1200= 1320

Total SP = 315+1320= 1635

Net profit= 1635-1500= 135

Profit% = 135/1500*100%

Profit% = 0.09*100%

Profit% = 9%

6 0
3 years ago
Read 2 more answers
Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cua
S_A_V [24]

Answer:

X = 32 meters.

Step-by-step explanation:

  • Let the unknown distance be X.

<u>Given the following data;</u>

  • Distance = 8 meters per hour
  • Time = 4 hours

To find how many meters he would cover in four hours;

1 hour = 8 meters

4 hours = X meters

Cross-multiplying, we have;

X = 8 * 4

<em>X = 32 meters.</em>

7 0
3 years ago
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